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Degree reduction of Bezier curves and its error analysis

Published online by Cambridge University Press:  17 February 2009

Yunbeom Park  and
U Jin Choi
U Jin Choi
Affiliation:
Department of Mathematics, Korea Advanced Institute of Science and Technology, Gu-sung Dong, Yu-sung Gu, Taejon, 305–701, Republic of, Korea.
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Abstract

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The error analysis of an algorithm for generating an approximation of degree n − 1 to an nth degree Bézier curve is presented. The algorithm is based on observations of the geometric properties of Bézier curves which allow the development of detailed error analysis. By combining subdivision with a degree reduction algorithm, a piecewise approximation can be generated, which is within some preset error tolerance of the original curve. The number of subdivisions required can be determined a priori and a piecewise approximation of degree m can be generated by iterating the scheme.

Type
Research Article
Information
The ANZIAM Journal , Volume 36 , Issue 4 , April 1995 , pp. 399 - 413
Copyright
Copyright © Australian Mathematical Society 1995

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